4054972109400 has 192 divisors, whose sum is σ = 13969335146400. Its totient is φ = 1081154880000.

The previous prime is 4054972109399. The next prime is 4054972109411. The reversal of 4054972109400 is 49012794504.

4054972109400 is a `hidden beast` number, since 4 + 0 + 54 + 97 + 2 + 109 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36129370 + ... + 36241430.

Almost surely, 2^{4054972109400} is an apocalyptic number.

4054972109400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4054972109400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984667573200).

4054972109400 is an abundant number, since it is smaller than the sum of its proper divisors (9914363037000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4054972109400 is a wasteful number, since it uses less digits than its factorization.

4054972109400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118787 (or 118772 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4054972109400 in words is "four trillion, fifty-four billion, nine hundred seventy-two million, one hundred nine thousand, four hundred".